Future value calculator for PV, PMT, rate and periods
Enter N, PV, the rate per period and a recurring deposit or withdrawal. HitEquals returns future value, total cash contributed, modeled interest and every period in the schedule.
Inputs used by this calculator
Future Value Calculator uses the fields below. The starting values reproduce the page example; replace them with values from the same units and time period before using the result.
| Input | Starting example | Accepted value | How it is used |
|---|---|---|---|
| Number of periods (N) | 10 | 1 to 600 | Supplies the number of periods (n) quantity used by the published equation or result breakdown. |
| Starting amount (PV $) | 1,000 | -1000000000000 to 1000000000000 | Supplies the starting amount (pv $) quantity used by the published equation or result breakdown. |
| Interest rate per period (I/Y %) | 6 | -99.999 to 1000 | Supplies the interest rate per period (i/y %) quantity used by the published equation or result breakdown. |
| Periodic deposit (PMT $) | 100 | -1000000000 to 1000000000 | Supplies the periodic deposit (pmt $) quantity used by the published equation or result breakdown. |
| Deposit made | At end of each period | At end of each period · At beginning of each period | Supplies the deposit made quantity used by the published equation or result breakdown. |
What future value means
Future value is the modeled amount at the end of N periods after applying the entered periodic rate and cash flows. It can compare savings patterns that share the same period definition.
Future value formulas
The present value term and annuity term are calculated separately. When the rate is zero, the deposit term simplifies to payment multiplied by periods.
FV=PV(1+i)^N+PMT((1+i)^N−1)/iannuity due FV=ordinary annuity FV term×(1+i)Beginning versus end payment
A beginning-of-period deposit compounds immediately and receives one extra period of growth. Withdrawals can be entered as negative payments and reduce the projected value.
Worked 10-period example
A $1,000 start plus ten $100 end deposits at 6% per period produces $2,000 of entered cash and about $1,108.93 of modeled growth.
Match the rate to the period
If periods are months, I/Y must be the monthly rate. Convert a nominal annual percentage according to its stated compounding convention instead of entering it unchanged.
What the schedule cannot predict
Real investment returns, inflation, taxes, fees and deposit dates vary. Use this as transparent time-value arithmetic rather than a promise of performance.
Time-value symbols
| Symbol | Meaning |
|---|---|
| PV | Starting amount |
| PMT | Deposit each period; negative for withdrawal |
| I/Y | Rate per period |
| N | Number of periods |
| FV | Ending modeled value |
Frequently asked questions
Is I/Y an annual rate?
Only if each period is one year; the rate must match the period.
Can the payment be negative?
Yes. A negative PMT models periodic withdrawals.
What happens at a zero rate?
Future value equals starting value plus all payments.
Why is beginning timing larger for deposits?
Each deposit receives one additional period of growth.
Are taxes and fees included?
No. Adjust inputs separately when those amounts are known.
Is future value guaranteed?
No. It is the result of a constant-rate mathematical scenario.
What to keep in mind
The rate is per selected period, not automatically annual. A 6% monthly rate is very different from a 6% annual rate. This constant-rate model excludes fees, taxes and volatility.
Results are rounded for display in US format, with money in dollars and cents; CSV exports keep full calculation precision. This is a calculation summary, not an official certificate.